What is 50% of 80?

Mathematics

1 answer:

KonstantinChe [14]3 years ago

3 0

50% is 1/2, 1/2 of 80 is 40

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What is the length of stack J M with bar on top space in the rectangular prism? Round your answer to the nearest tenth.

musickatia [10]

Volume of the rectangular prism = l * w * h
Diagonal = √l² + w² + h²
= √ 16² + 12² + 8²
= √464
= 21.5

8 0

3 years ago

Luka invests $8000 at 6% interest for three years

allsm [11]

6/100 x 8000 = 480 x 3 = 1440
1440/800=0.18
0.18 x 100 = 18%

6 0

3 years ago

Which of these is NOT an integer

Tema [17]

Hi there!

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I believe your answer is:

Option A

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Here’s why:

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$\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}$

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$\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}$

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$\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}$

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$\text{Option \textbf{A} does not simplify into an integer.}$

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Hope this helps you. I apologize if it’s incorrect.

7 0

3 years ago

Suppose that the distribution is bell-shaped. If approximately 99.7% of the lifetimes lie between 568 hours and 1066 hours, then

irakobra [83]

Answer:

$\sigma =\frac{478}{6}=79.667$

Step-by-step explanation:

The empirical rule, also referred to as "the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ)". The empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

And on this case since we are within 3 deviations (because we have 99.7% of the data between 568 and 1066hours), the result obtained using the z score agrees with the empirical rule.

So on this case we can find the standard deviation on this ways:

$\mu -3\sigma = 568$ (1)